The number 80002
80002 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 181. Divisors (16): 1, 2, 13, 17, 26, 34, 181, 221, 362, 442, 2353, 3077, 4706, 6154, 40001, 80002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80002 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 80002 itself that is 57590, so 80002 is deficient (57590 is less than 80002). Euler's totient φ(80002) = 34560 numbers up to 80002 share no factor with it.
- 4
The digits of 80002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80002 = 2 \times 13 \times 17 \times 181 \]
80002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 34560 |
| Square | 6400320004 |
| Cube | 512038400960008 |
| Square root | 282.846248 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0002 × |
80002 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and two |
| Binary (base 2) | 10011100010000010 |
| Octal (base 8) | 234202 |
| Hexadecimal (base 16) | 13882 |
| Base 3 | 11001202001 |
| As time | 80002 seconds = 22 h 13 min 22 s |
Is 80002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80002 ÷ 2 = 40001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80002 a prime number?
No. 80002 = 2 × 13 × 17 × 181, so it is divisible by 2.
What are the factors of 80002?
1, 2, 13, 17, 26, 34, 181, 221, 362, 442, 2353, 3077, 4706, 6154, 40001, 80002.
What is 80002 in binary?
10011100010000010 (hexadecimal 13882, octal 234202).
What is the square root of 80002?
About 282.8462.
Is 80002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 80002?
80002 is a happy number: repeatedly adding the squares of its digits reaches 1.